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Finding the Fourth Proportional to 340,782.26, 511,265.42 and 104,118.48

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Solution

The fourth proportional to 340,782.26, 511,265.42 and 104,118.48 is: 156,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,782.26 : 511,265.42 = 104,118.48 : x
  2. Step 2: Convert to fraction form
    340,782.26/511,265.42 = 104,118.48/x
  3. Step 3: Cross multiply
    340,782.26x = 511,265.42 × 104,118.48
  4. Step 4: Simplify right side
    340,782.26x = 53,232,177,886.37
  5. Step 5: Solve for x
    x = 53,232,177,886.37/340,782.26
  6. Step 6: Final answer
    x = 156,205.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.